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Finding the Fourth Proportional to 9,850.52, 14,778.68 and 4,588.62

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Solution

The fourth proportional to 9,850.52, 14,778.68 and 4,588.62 is: 6,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.52 : 14,778.68 = 4,588.62 : x
  2. Step 2: Convert to fraction form
    9,850.52/14,778.68 = 4,588.62/x
  3. Step 3: Cross multiply
    9,850.52x = 14,778.68 × 4,588.62
  4. Step 4: Simplify right side
    9,850.52x = 67,813,746.62
  5. Step 5: Solve for x
    x = 67,813,746.62/9,850.52
  6. Step 6: Final answer
    x = 6,884.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.